Abstract
Advanced Mathematics as one of the most important course in science and technology universities. As a form of science, advanced mathematics has its specific characteristic- high abstractness, logical rigor, and extensive use.,it plays a great role to the follow-up course study. Thus, advanced mathematics is important for use to a large extent. However, most of the students puzzled about advanced mathematics, especially how to solve proof question. This paper will analyse and discuss most normal types in advanced mathematics: the utmost limit existence proof, inequation proof, identical equation proof, and existence proof of equation root. Moreover, kinds of widely used solution approach and skills will be given as well.
